Question

While on vacation, Enzo sleeps 115% percent as long as he does while school is in session. He sleeps an average of s hours per day while he is on vacation.

Answer 1

The complete question is written below:

While on vacation, Enzo sleeps 115% as long as he does while school is in session. He sleeps an average of s hours per day while he is on vacation. Which of the following expressions could represent how many hours per day Enzo sleeps on average while school is in session?

A.1.15s

B.s/1.15

C.100/115s

D.17/20s

E.(1.15-0.15)s

Answer:

B.
`(s)/(1.15)`

Explanation:

Let the hours per day slept while school is in session be
`x`.

Given:

Hours slept per day on vacation =
`s`

Enzo sleeps 115% as long in vacation as he does in school. Therefore, as per question,

`s=115\%\ of\ x\\\\s=(115)/(100)x\\\\s=1.15x\\\\x=(s)/(1.15)`

Hence, the number of hours Enzo sleeps while school is in session is given as:

`x=(s)/(1.15)`